Stochastic analysis of the capacity of two parallel footings on a thin sand layer

Pezhman Fazeli Dehkordi, Usama F.A. Karim, Mahmoud Ghazavi*, Navid Ganjian

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)


This paper presents a study on the stochastic bearing capacity of two parallel strip footings supported on a heterogeneous sand layer confined by a rigid base. Variability of the sand is represented by a truncated normal distribution function of its friction angle to produce a geostatistical equivalent to the deterministic bearing capacity. A method was first demonstrated to derive an analytical distribution function of the bearing capacity for a single surface footing with a rigid base layer for which an exact bearing capacity function is available. For the twin foundation problem with no explicit deterministic solutions, a Monte Carlo simulation was adopted. The stochastic bearing capacity relative to its deterministic equivalent was determined for a set of layer thicknesses and footing distances in terms of the assumed geostatistical characteristics of the sand and resulting bearing capacity distributions. The Monte Carlo methodology is adaptable in design to model other bearing capacity problems with more complex and random soil distributions.

Original languageEnglish
Pages (from-to)355-364
Number of pages10
JournalProceedings of the Institution of Civil Engineers: Geotechnical Engineering
Issue number4
Early online date8 Jul 2019
Publication statusPublished - Aug 2019


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